evaluate (f o g)(1), (g o f)(0), and (g o g)(0)

Answer:

17

Step-by-step explanation:

Answer:17

Step-by-step explanation:

24-7=17

Answer:

y=718.012

Step-by-step explanation:

Answer:

8

Step-by-step explanationHighlight examples of strong word choice.

Toraemon grabbed the oars and pulled, while Jusuke tried to lower the sail. But the wind beat it against the mast until it was torn into shreds. The wind pushed the sea into great mountains of water; it tore the oars from the men's hands and flung them into the sea; and finally, it snapped the mast, then ripped the rudder away from the boat.

—Heart of a Samurai,

Margi Preus

What feeling does the word choice in this passage convey?

helplessness

calmness

humor

playfulness

Answer:

9

Step-by-step explanation:

because 8 gallons of lemonade will stand on charge $1.00 will add and answer will be 9

1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year

Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year

Gross Yearly Income = $31,200

2)Gross Monthly Income = Gross Yearly Income / Months in a Year

Gross Monthly Income = $31,200 / 12 months

Gross Monthly Income ≈ $2,600

Answer:

0.45d + 4

Step-by-step explanation:

45% of d => 0.45d

Then a number 4 more is gonna be 0.45d + 4

Answer:

  see below

Step-by-step explanation:

The intersection of A and B is the list of elements that show up in both sets. Then the remaining elements of A and of B are those elements of the respective set that are not in the intersection.

The elements that are not in either A or B are listed at the lower left of the diagram (outside the circles).

There are 2 members of the 9-member set that are in the intersection of A and B. If some set member is chosen at random, the probability it is one of those is 2/9.

Answer:

Step-by-step explanation:

#4

√25= 5 and 5 is rational.

#7

√(1/2) is equivalent to √1 / √2.    √1 is rational but √2 is irrational.

Thus the expression √(1/2) is irrational.

Answer:

-1 = -8

0 = 3

1 = 13

5 = 53

Step-by-step explanation:

-1 times 10 is -11

-11 plus 3 = 8

Answer:

56

Step-by-step explanation:

Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.

11+13+14+16+17+18+20+20+21+24+25+29 = 228

There are 12 numbers, so divide by 12.

228/12 = 19. The mean is 19.

Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.

(Side note: yes, median and mean can be the same.)

Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.

Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.

The value of intergal  \(y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t\) is

\(y=\frac{1}{6} \sqrt{(3x^{2}-1)^{2}} - \frac{1}{6} \sqrt{(3(-2)^{2}-1)^{2}} \)\)

In mathematics, an integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals, together with derivatives, are the two main tools used in calculus and are used to calculate areas, volumes, and their generalizations.

The integral \(y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t\)  can be evaluated by first completing the square and then using the substitution method.

Completing the square gives us \(( 3 t^{4} -1 = (3t^{2} -1)^{2} \)\).

We can now make the substitution \(( u = 3 t^{2} -1 \)\)).

Differentiating, we get \(( du = 6t dt \)\)).

Therefore, the integral can be written as\(y=\int_{-2}^{x} \sqrt{(3t^{2}-1)^{2}} \frac{du}{6t} \)\).

Solving the integral, we get:

\(y = \frac{1}{6} \sqrt{(3t^{2}-1)^{2}} +C \)\)

Substituting back into the equation, we get the answer as:

\(y=\frac{1}{6} \sqrt{(3x^{2}-1)^{2}} - \frac{1}{6} \sqrt{(3(-2)^{2}-1)^{2}} \)\)

To know more about integral click on below link:

https://brainly.com/question/18125359#

#SPJ11

Answer:

5x

Step-by-step explanation:

Let's assume that the number of plants with 5 leaves is x, and the number of plants with 2 leaves and 1 flower is y. Then, we can write two equations based on the information given:

x + y = 6 (total number of flowers)

5x + 2y = 32 (total number of leaves)

To solve for x and y, we can use the substitution or elimination method. Let's use the substitution method here.

From the first equation, we get:

y = 6 - x

Substituting this into the second equation, we get:

5x + 2(6 - x) = 32

5x + 12 - 2x = 32

3x = 20

x = 20/3

This means there are approximately 6.67 plants with 5 leaves. To find the number of plants with 2 leaves and 1 flower, we can substitute x back into the first equation:

6.67 + y = 6

y = 6 - 6.67

y = -0.67

This doesn't make sense since we can't have a negative number of plants. Therefore, we made a mistake somewhere. Let's check our equations again.

x + y = 6 (total number of flowers)

5x + 2y = 32 (total number of leaves)

We notice that the second equation should be:

2x + y = 32 (total number of leaves)

Let's use this equation instead:

x + y = 6 (total number of flowers)

2x + y = 32 (total number of leaves)

From the first equation, we get:

y = 6 - x

Substituting this into the second equation, we get:

2x + 6 - x = 32

x = 26

This means there are 26 plants with 5 leaves. To find the number of plants with 2 leaves and 1 flower, we can substitute x back into the first equation:

26 + y = 6

y = 6 - 26

y = -20

Again, this doesn't make sense. We made another mistake somewhere. Let's check our equations again.

x + y = 6 (total number of flowers)

2x + y = 32 (total number of leaves)

We notice that the first equation should be:

2x + y = 6 (total number of flowers)

Let's use these corrected equations:

2x + y = 6 (total number of flowers)

2x + 3y = 32 (total number of leaves)

From the first equation, we get:

y = 6 - 2x

Substituting this into the second equation, we get:

2x + 3(6 - 2x) = 32

2x + 18 - 6x = 32

-4x = 14

x = -14/4

Once again, we get a negative number of plants, which doesn't make sense. Let's check our equations again.

2x + y = 6 (total number of flowers)

2x + 3y = 32 (total number of leaves)

We notice that the first equation should be:

x + y = 6 (total number of flowers)

Let's use these corrected equations:

x + y = 6 (total number of flowers)

5x + 2y = 32 (total number of leaves)

From the first equation, we get:

y = 6 - x

Substituting this into the second equation, we get:

5x

A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)

\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)

Now we can rewrite the expression using the common denominator:

\(3 + \frac{3}{15}+\frac{10}{15}\)

The numbers which hold true for the situation modelled in the task content are; (-√15, 0) and (+√15, 0).

The system of equations which model the situation is;

x²- y² = 15

2x² - y² = 30.

Hence, by subtracting equation 1 from 2; we have;

x² = 15

x = ±√15.

and hence by substitution; the value of y is;

(√15)² + y = 15

y = 0.

Hence, the required values of the numbers are;

(-√15, 0) and (+√15, 0).

Read more on system of equations;

https://brainly.com/question/14323743

#SPJ1

The tower, the flagpole and Jeff's position form similar triangles

The tower is 54 feet's tall

Using the attached figure as an illustration, we have the following highlights

So, we have the following equivalent ratios

\(AB:BE = CD:CE\)

Where:

BE = BC + CE

So, we have:

\(AB:BC + CE = CD:CE\)

This gives

\(h:40 + 20 = 18:20\)

\(h:60 = 18:20\)

Express as fraction

\(\frac{h}{60} = \frac{18}{20}\)

\(\frac{h}{60} = 0.9\)

Multiply through by 60

\(h= 54\)

Hence, the tower is 54 feet's tall

Read more about similar triangles at:

https://brainly.com/question/14285697

The freighter is approximately 164.33 miles from the city.

We can use the Law of Cosines to solve this problem. Let's label the distances as follows:

d: distance between the city and the freighter

x: distance between the city and the island

y: distance between the island and the freighter

First, we need to find x using the given coordinates:

N23°38'W is equivalent to S23°38'E, so we have:

cos(23°38') = x/48

x = 48cos(23°38') ≈ 42.67 miles

Next, we can use the coordinates of the freighter to find y:

N11°26'E is equivalent to E11°26'N, and N12°16'W is equivalent to S12°16'E. This means that the angle between the island and the freighter is:

23°38' + 11°26' + 12°16' = 47°20'

cos(47°20') = y/d

We can rearrange this equation to solve for y:

y = dcos(47°20')

Now we can use the Law of Cosines to solve for d:

d² = x² + y² - 2xy cos(90° - 47°20')

d² = 42.67² + (d cos(47°20'))² - 2(42.67)(d cos(47°20')) sin(47°20')

d² = 1822.44 + d² cos²(47°20') - 2(42.67)(d cos(47°20')) sin(47°20')

d² - d² cos²(47°20') = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')

d² (1 - cos²(47°20')) = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')

d² sin²(47°20') = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')

d² = (1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')) / sin²(47°20')

d ≈ 164.33 miles

Therefore, the freighter is approximately 164.33 miles from the city.

Learn more about  Law of Cosines at https://brainly.com/question/30766161

#SPJ1

Answer:

2 apples

Step-by-step explanation:

I hope this helps!

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

For such more questions on simplified form

https://brainly.com/question/28323654

#SPJ8

Answer:

243

Step-by-step explanation:

Answer:

The data in statistics is generally supposed to deviate or vary from the mean. Standard deviations of 1, 2, and 3 are commonly used to calculate variability according to the empirical norm. In a normal distribution, we estimate 68 percent, 95 percent, and 98 percent of the data to be within 1, 2, and 3 standard deviations of the mean, respectively. This implies that the given percentage of data will lie within an interval of less than or greater than the standard deviation. If the values within a given standard deviation from the mean are standardized, the z value will always be equal to or less than the given standard deviation.

We should look at a program that aims to help people get out of poverty by using the standard deviation principle. The aim of the program is to provide free seeds to poor people who have been suffering from low yields due to the use of local seeds. If we use the definition of one standard deviation of the mean, or 2 and 3, we will favor the majority of people, but we will leave the poorest people in society behind.

Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

The simplified fraction is −|a+b|2−c= -3/5 when a=4 , b=−1 , and c=−3

A fraction  indicates a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction defines how many pieces of a specific size there are, for example, one-half, eight-fifths, and three-quarters. A common, vulgar, or simple fraction consists of a numerator displayed above a line (or before a slash like 12) and a non-zero denominator displayed below (or after) that line. Numerators and denominators are also employed in uncommon fractions, such as compound fractions, complex fractions, and mixed numerals.

The numerator and denominator of positive common fractions are both natural integers. The denominator represents a number of equal parts, while the numerator represents a number of equal parts.

Given,

a=4

b=-1

c=-3

= -|a +b|/2-c

= -|4-1|/2-(-3)

= -|3|/2+3

- |3|/5

= -3/5

Therefore, −|a+b|2−c= -3/5

To know more about fraction, visit:

https://brainly.com/question/10354322

#SPJ1

Answer:

sorry, the answer is undefined because negative in squer is undefined

The smallest integer that Pearl wrote down is -12.Let's assume the smallest integer that Pearl wrote down is represented by the variable "x."

According to the given information, the sum of the seven consecutive integers is equal to $\frac{21}{4}$ times the largest integer.

The sum of consecutive integers can be expressed as the sum of an arithmetic series. The sum of an arithmetic series can be calculated using the formula:

Sum = (n/2)(first term + last term)

In this case, the first term is x and the last term is x + 6 (since there are seven consecutive integers). Therefore, the sum of the integers can be written as:

Sum = (7/2)(x + (x + 6))

Simplifying the equation:

(7/2)(2x + 6) = (21/4)(x + 6)

Multiplying both sides by 4 to eliminate the fractions:

14x + 42 = 21x + 126

Subtracting 14x from both sides:

42 = 7x + 126

Subtracting 126 from both sides:

-84 = 7x

Dividing both sides by 7:

-12 = x.

For more such questions on Smallest integer:

https://brainly.com/question/30076540

#SPJ8

Answer: Its D

Step-by-step explanation:

\(f(x) =x^5 -8x^3 +6x^2+7x-6\\\\= x^5 -2x^4+2x^4 -4x^3-4x^3+8x^2-2x^2+4x+3x -6\\\\=x^4(x-2) + 2x^3(x-2) -4x^2(x-2) -2x(x-2) +3(x-2)\\\\=(x-2)(x^4+2x^3-4x^2-2x+3)\\\\=(x-2)(x^4-x^3+3x^3-3x^2-x^2+x-3x+3)\\\\=(x-2)[x^3(x-1) +3x^2(x-1) -x(x-1) -3(x-1)]\\\\=(x-2)(x-1)(x^3 +3x^2 -x -3)\\\\=(x-2)(x-1)(x^3 -x^2 +4x^2-4x+3x-3)\\\\=(x-2)(x-1) [x^2(x-1)+4x(x-1) +3(x-1)]\\\\=(x-2)(x-1)(x-1) (x^2 +4x +3)\\\\=(x-2)(x-1)^2(x^2 +3x+x +3)\\\\=(x-2)(x-1)^2 [x(x+3) +(x+3)]\\\\=(x-2)(x-1)^2(x+1)(x+3)\)

Step-by-step explanation:

50 110

190 240

425 485

was this your question?

g would be 125 degrees

h would be 62 degrees

Answer:

g = 118°

Step-by-step explanation:

b = 180 - 62 = 118 because b is supplementary to the 62° angle

g = 118 because b and g are alternate interior angles